Information on Result #693427
Linear OA(2588, 15628, F25, 31) (dual of [15628, 15540, 32]-code), using construction X applied to Ce(30) ⊂ Ce(29) based on
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(25107, 15694, F25, 31) (dual of [15694, 15587, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25108, 15696, F25, 31) (dual of [15696, 15588, 32]-code) | [i] | ||
| 3 | Linear OA(25109, 15698, F25, 31) (dual of [15698, 15589, 32]-code) | [i] | ||
| 4 | Linear OA(25110, 15700, F25, 31) (dual of [15700, 15590, 32]-code) | [i] | ||
| 5 | Linear OOA(2588, 7814, F25, 2, 31) (dual of [(7814, 2), 15540, 32]-NRT-code) | [i] | OOA Folding | |